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Chapter 3: Q10. (page 133)

Shopping You spend $60 on clothes and buy 3 DVD movies. Your friend spends nothing on clothes and buy 8 DVD movies. All the DVDs cost the same amount. How much does each DVD cost?

Short Answer

Expert verified

The cost of each DVD is $12

Step by step solution

01

Step-1 – Given

Shopping You spend $60 on clothes and buy 3 DVD movies. Your friend spends nothing on clothes and buy 8 DVD movies. All the DVDs cost the same amount.

02

Step-2 – To determine

We have to find the cost of each DVD.

03

Step-3 – Calculation

Let, x = the cost of each DVD.

Given that the first person spends on clothes = $60 and number of DVD bought = 3.

So, total amount spend by first person is: 3x+60

The total number of DVDs bought by the second person is 8.

So, the total amount spend by second person is= 8x

Given that the amount spend by both of them must be same.

Hence, the equation is:

3x+60=8xwritetheoriginalequation3x+60鈭�3x=8x鈭�3xsubtract3xfrombothsides60=5xsimplify605=5x5divideeachsideby5x=12simplify

Therefore, the cost of each DVD is $12

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